User Manual

2-30
[OPTN]-[CALC]-[d
2
/dx
2
] ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺕﺎﻴﻠﻤﻌﻟﺍ k
.ﻲﻟﺎﺘﻟﺍ ﺐﻴﻛﺮﺘﻟﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﳌﺍ ﻝﺎﺧﺩﺇ ﻦﻜﳝ ،ﺔﻔﻴﻇﻮﻟﺍ ﻞﻴﻠﲢ ﺔﻤﺋﺎﻗ ﺭﻮﻬﻇ ﺪﻌﺑ
<ﺔﻴﺿﺎﻳﺮﻟﺍ ﺕﺎﺟﺮﺍ/ﺕﻼﺧﺪﳌﺍ ﻊﺿﻭ>
K4(CALC)3(d
2
/dx
2
) f(x)ea
ﻭﺃ
4(MATH)5(d
2
/dx
2
) f(x)ea
<ﺔﻴﻄﳋﺍ ﺕﺎﺟﺮﺍ/ﺕﻼﺧﺪﳌﺍ ﻊﺿﻭ>
K4(CALC)3(d
2
/dx
2
) f(x),a)
.ﺎﻬﻟ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﳌﺍ ﺪﻳﺪﲢ ﺪﻳﺮﺗ ﻲﺘﻟﺍ ﺔﻄﻘﻨﻟﺍ ﻮﻫ a
ﻲﻫ ﻲﺘﻟﺍ ،ﻲﻟﺎﺘﻟﺍ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﳌﺍ ﺔﻐﻴﺻ ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﺒﻳﺮﻘﺘﻟﺍ ﻖﺘﺸﳌﺍ ﺔﻤﻴﻗ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺞﺘﻨﺗ
.ﻥﺎﺗﻮﻴﻨﻟ ﻲﻣﻮﻨﻟﻮﺑ ﺮﻴﺴﻔﺗ ﻰﻠﻋ ﺓﺪﻨﺘﺴﻣ
.f"(a) ﺔﺑﺭﺎﻘﺘﳌﺍ ﺔﻤﻴﻘﻟﺍ ﻰﻠﻋ ﻝﻮﺼﺤﻠﻟ "h ـﻟ ﺔﻴﻓﺎﻛ ﺓﺮﻴﻐﺻ ﺕﺍﺩﺎﻳﺯ" ـﻟ ﻢﻴﻘﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻢﺘﻳ ،ﺮﻴﺒﻌﺘﻟﺍ ﺍﺬﻫ ﻲﻓ
y
= x
3
+ 4x
2
+ x – 6 ﺔﻔﻴﻇﻮﻠﻟ x = 3 ﻲﻓ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﳌﺍ ﺪﻳﺪﺤﺘﻟ ﻝﺎﺜﳌﺍ
.f(
x) ﺔﻔﻴﻇﻮﻟﺍ ﻞﺧﺩﺃ
AK4(CALC)3(d
2
/dx
2
)vMde+evx+v-ge
.ﻖﺘﺸﳌﺍ ﺔﻄﻘﻧ ﻲﻫ ﻲﺘﻟﺍ ،
a ﺔﻄﻘﻨﻛ 3 ﻞﺧﺩﺃ
dw
ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﺔﻔﻴﻇﻭ ﻲﻓ ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ
:ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻠﻟ ﻲﻟﺎﺘﻟﺍ ﻞﻜﺸﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﺔﻄﺳﺍﻮﺑ ﻩﻼﻋﺃ ﺐﻴﻛﺮﺘﻟﺍ ﻲﻓ a ﺔﻤﻴﻘﻟﺍ ﻝﺎﺧﺩﺇ ﻑﺬﺣ ﻚﻨﻜﳝ
.
a ﺔﻤﻴﻘﻟﺍ ﻦﻋ ﻻﺪﺑ X ﺮﻴﻐﺘﳌ ﺔﻤﻴﻘﻟﺍ ﻡﺪﺨﺘﺴﺗ ، ﺔﻟﺄﺴﳌﺍ ﻩﺬﻫ ﻲﻓ .Y2 = d
2
/dx
2
(Y1)
ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺕﺎﻃﺎﻴﺘﺣﺍ
ﺔﺤﻔﺻ ﺮﻈﻧﺍ ) ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻤﻠﻌﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﺪﻨﻋ ﺎﻀﻳﺃ ﻖﺒﻄﺗ ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﻖﺒﻄﺗ ﻲﺘﻟﺍ ﺕﺎﻃﺎﻴﺘﺣﻻﺍ
.(
2-29
d
2
d
2
––– (
f
(
x
),
a
)
⇒
–––
f
(
a
)
dx
2
dx
2
f
''(a) =
180h
2
2 f(a + 3h) – 27 f(a + 2h) + 270 f(a + h) – 490 f(a) + 270 f(a – h) – 27 f(a –2h) + 2 f(a – 3h)